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Assigned 2/8/10, Due 2/19/10 (by 4:30 in dropbox in MSEE 330)
1. A random variable is related to a random variable by
(a) Suppose is a continuous random variable with pdf
else
where is a constant. Find the pdf of and the probabilitythat is greater than
(b) Suppose is a discrete random variable with pmf
else.
where is a constant. Find the pmf of and the probabilitythat is greater than
2. Consider the limiter
shown in Figure P4.3 on p. 220 of the text with
and
. Assume that
(a) What kind of random variable is
(b) Find
using the density method
(c) Find
using the distribution method
(d) Find
3. There are 10 multiplechoice questions in an exam, each with 4 choices. The student knows
the correct answer to 7 of them, and for the remaining 3 guesses randomly. Let C be the
number of correct answers, and W be the number of wrong answers.
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 Spring '08
 GELFAND
 Probability theory, Discrete probability distribution, nity

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